Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 730 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.If 3x + 29 = 74, what is x? (a) 14 (b) 16 (c) 15 (d) 45
2. 2.What is the average of 51, 42, 52, 49, 56 and 80? (a) 56 (b) 55 (c) 54 (d) 66
3. 3.1/4 + 2/4 = ? (a) 1 (b) 1/2 (c) 3/4 (d) 3/8
4. 4.A teacher has 8 pencils and 20 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 8 (b) 12 (c) 4 (d) 2
5. 5.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 54 cm (c) 176 cm (d) 27 cm
6. 6.What is 10% of 220? (a) 44 (b) 22 (c) 198 (d) 220
7. 7.3/5 + 1/2 = ? (a) 1 (b) 4/7 (c) 6/5 (d) 11/10
8. 8.Which fraction is greater: 7/11 or 3/8? (a) They are equal (b) 7/11 (c) 3/8
9. 9.What is the smallest number you must add to 535 to make it divisible by 12? (a) 5 (b) 7 (c) 6 (d) 4
10. 10.If 11 August is a Sunday, what day of the week is 18 September? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
11. 11.1/6 + 1/3 = ? (a) 1/3 (b) 2/3 (c) 2/9 (d) 1/2
12. 12.Which fraction is greater: 1/3 or 3/10? (a) They are equal (b) 3/10 (c) 1/3
13. 13.If 5x + 7 = 3x + 21, what is x? (a) 7 (b) 9 (c) 8 (d) 14
14. 14.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 54 (b) 34 (c) 24 (d) 64
15. 15.What is the smallest number you must add to 747 to make it divisible by 12? (a) 8 (b) 3 (c) 10 (d) 9
16. 16.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 136 cm (d) 42 cm
17. 17.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 80 sq cm (d) 70 sq cm
18. 18.Two ribbons are 22 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 22 cm (b) 77 cm (c) 1 cm (d) 11 cm
19. 19.If 4x + 7 = 67, what is x? (a) 14 (b) 15 (c) 16 (d) 60
20. 20.What is the smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 224 (b) 112 (c) 56 (d) 36
21. 21.7.84 + 3.3 = ? (a) 8.17 (b) 11.24 (c) 11.04 (d) 11.14
22. 22.Which is the greatest: 0.037, 0.521, 0.6, 0.69? (a) 0.037 (b) 0.521 (c) 0.6 (d) 0.69
23. 23.Which of these numbers is divisible by 9? (a) 3884 (b) 3896 (c) 3900 (d) 3888
24. 24.What is the value of the digit 1 in 19.852? (a) 0.1 (b) 0.01 (c) 10 (d) 1
25. 25.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 120 (b) 360 (c) 42 (d) 60
26. 26.Which fraction is greater: 1/5 or 1/3? (a) 1/5 (b) 1/3 (c) They are equal
27. 27.What is the value of the digit 1 in 26.184? (a) 0.01 (b) 0.1 (c) 0.001 (d) 1
28. 28.If 6x − 16 = 2, what is x? (a) 2 (b) 18 (c) 3 (d) 4
29. 29.What is the value of the digit 1 in 68.135? (a) 0.001 (b) 1 (c) 0.01 (d) 0.1
30. 30.If 2x − 8 = 8, what is x? (a) 7 (b) 16 (c) 8 (d) 9
31. 31.If 11 July is a Thursday, what day of the week is 20 July? (a) Friday (b) Saturday (c) Sunday (d) Monday
32. 32.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 17 cm (c) 2 cm (d) 3 cm
33. 33.A bag marked ₹1260 is sold at a 30% discount. What is its selling price? (a) ₹882 (b) ₹378 (c) ₹1638 (d) ₹1230
34. 34.If 13 October is a Friday, what day of the week is 3 November? (a) Sunday (b) Thursday (c) Friday (d) Saturday
35. 35.What is the smallest number of sweets that can be shared equally among 6 children or among 10 children, with none left over? (a) 30 (b) 60 (c) 31 (d) 16
36. 36.Today is Tuesday. What day of the week will it be after 84 days? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
37. 37.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 108 sq cm (c) 23 sq cm (d) 46 sq cm
38. 38.Every pair follows the same rule: 3 : 8, 5 : 14, 7 : 20. What is 8 : ? (a) 13 (b) 24 (c) 23 (d) 22
39. 39.What is the average of 69, 76, 83, 67, 62 and 87? (a) 73 (b) 75 (c) 76 (d) 74
40. 40.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 22 cm (c) 120 cm (d) 12 cm

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